Chebyshev''s inequality, Advanced Statistics

Chebyshev's inequality: A statement about the proportion of the observations which fall within some number of the standard deviations of the mean for any of the probability distribution. One description is that for the random variable, X is given as follows

218_Chebyshev’s inequality.png 

here k is the number of standard deviations, σ, from the mean, µ. For instance, the

inequality states that at least 75% of observations fall within the two standard deviations of the mean. If the variable X can take on only the positive values as follows, basically known as the Markov inequality, holds;
1515_Chebyshev’s inequality1.png

 

 

 

Posted Date: 7/26/2012 6:18:19 AM | Location : United States







Related Discussions:- Chebyshev''s inequality, Assignment Help, Ask Question on Chebyshev''s inequality, Get Answer, Expert's Help, Chebyshev''s inequality Discussions

Write discussion on Chebyshev''s inequality
Your posts are moderated
Related Questions
Human height growth curves : The growth of human height is, in common, remarkably regular, apart from the pubertal growth spurt. The satisfactory longitudinal development curve is

For a career woman, wearing lipstick has become an integral part of her daily life. It is not unusual for a woman to look for a lipstick that will stay on her lips and not smudge

The approach of controlling the error rate in an exploratory analysis where number of hypotheses are tested, but where the strict control which is provided by multiple comparison p

difference between histogram and historigram

Hamilton County judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appeale

You and your team have been hired as strategic consultants by the hugely successful retailer known as “Cutie Pie”. The company sells many products, although one product in particul

This is the branch of mathematics which deals with the theory of contests between two or more players under the specified sets of rules. The subject supposes a statistical aspect w

Hot deck is a method broadly used in surveys for imputing the missing values. In its easiest form the method includes sampling with replacement m values from the sample respondent


Bonferroni correction : A procedure for guarding against the rise in the probability of a type I error when performing the multiple signi?cance tests. To maintain probability of a